Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.
\int_(-1)^0 \int_(-\sqrt(1-x^(2)))^0 (14)/(1+\sqrt(x^(2)+y^(2)))dydx
Change the Cartesian integral into an equivalent polar integral.
\int_(-1)^0 \int_(-\sqrt(1-x^(2)))^0 (14)/(1+\sqrt(x^(2)+y^(2)))dydx=\int_(\pi )^? ?drd\theta
(Type exact answers, using
\pi
as needed.) The value of the double integral is
?
(Type an exact answer, using
\pi
as needed.)

Question

Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.

\int_(-1)^0 \int_(-\sqrt(1-x^(2)))^0 (14)/(1+\sqrt(x^(2)+y^(2)))dydx

Change the Cartesian integral into an equivalent polar integral.

\int_(-1)^0 \int_(-\sqrt(1-x^(2)))^0 (14)/(1+\sqrt(x^(2)+y^(2)))dydx=\int_(\pi )^? ?drd\theta

(Type exact answers, using

\pi

as needed.) The value of the double integral is

?

(Type an exact answer, using

\pi

as needed.)

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